Abstract: A vacuum-cleaner nozzle attachment comprises an elongated tube having an oblong cross-sectional shape over an outer, working section thereof and a round cross-sectional shape over an inner section. At an outer working tip thereof an opening defines an angle of more than 20.degree. but not more than 60.degree. with an axis of elongation of the tube. An attaching portion at an opposite end of the elongated tube has a wall which forms tapered, stepped cavities which can be force fitted onto various size vacuum-cleaner nozzles. The two sections can be forced fitted together. In one embodiment, the angled opening does not extend over the entire cross-sectional area of the tube, but rather only over a portion thereof and the remaining portion has an opening formed therein which is perpendicular to the axis of elongation. In another embodiment, the remaining portion is covered rather than being open.